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Zolol [24]
2 years ago
11

The rate of a country's per capita sales of bottled water for the period 2007–2014 could be approximated by s(t) = 0.29t2 − t +

25 gallons per year (0 ≤ t ≤ 7), where t is time in years since the start of 2007. Use a Riemann sum with n = 5 to estimate the total country's per capita sales of bottled water from the start of 2008 to the start of 2012. (Use a left Riemann sum to find your answer. Round your answer to the nearest gallon.) HINT [See Example 2.]
Mathematics
1 answer:
Gelneren [198K]2 years ago
4 0

Answer:

A = 126.66\,\frac{sales}{person}

Step-by-step explanation:

Then, Riemann sum with n = 5 for the function described in the statement is:

A = \Delta t \cdot [f(1) + f(2)+f(3)+f(4)+f(5)]

A = 1\cdot (25 + 24.16+24.61+25.64+27.25)

A = 126.66\,\frac{sales}{person}

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Simplify the expression by arranging the steps in sequence, based on the order of operations.
lubasha [3.4K]

Answer:

\displaystyle 6x - 5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients/Degrees

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{1}{6}(30x + 24) - \frac{1}{7}(63 - 7x)<u />

<u />

<u>Step 2: Simplify</u>

  1. Distribute:                           \displaystyle \frac{1}{6}(30x) + \frac{1}{6}(24) - \frac{1}{7}(63) - \frac{1}{7}(-7x)
  2. Multiply:                              \displaystyle 5x + 4 - 9 + x
  3. Rearrange:                          \displaystyle 5x + x + 4 - 9
  4. Combine like terms:          \displaystyle 6x - 5
8 0
2 years ago
Two walls have the same area. The first wall is in the shape of a square and has a height
STatiana [176]

Answer:

27 feet

Step-by-step explanation:

Two walls have same area

Area of first wall(square) = 18*18 = 324

Area of second wall = 12 * x = 324

324/12 = 27

27 feet

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3 years ago
How do you write the number 506,709 in word form and expanded form
ICE Princess25 [194]
Word form-five hundred six thousand,seven hundred nine Expanded form-500,000+6,000+700+9
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Find f(6) if f(x)=x^2 divided by 3x+x
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So, if I'm understanding you correctly, f(x)=x^2 divided by 3x+x, or
f(x) = (x^2)/(3x+x)
f(6) --> plug the 6 in to all values of x --> f(6) = (6^2)/(3×6 + 6) = 36/(18+6)
= 36/24 --> both are divisible by 12, so 36/12=3 and 24/12=2, now we have the reduced (simplified) answer:
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3 years ago
What is the measure of angle FAB
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It's an angle. That should work because it's obvious. Hope it helped.

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